Proven Security and Efficiency of Gap Diffie-Hellman Group Blind Signature in E-Commerce

Abstract

Recently bilinear pairings have found various applications in cryptosystems. However, a natural open question is to construct a secure and efficient pairing system without the MapToPoint hash function. The new scheme offers a less order of security and efficiency than the existing other signature schemes based on discrete logarithm. Furthermore, our scheme upholds all desirable properties of previous blind signature schemes, and requires general cryptographic hash function instead of MapToPoint hash function that is inefficient and probabilistic. It can apply in more critical systems like e-voting, e-commerce and e-payment systems that need higher security against sophisticated attacks and can preserve participants’ anonymity. The security and efficiency of the proposed method is analyzed and presented. We believe that the proposed idea can be applicable to all other usages for all blind signatures.